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Simplifying 19x + y2 + -1a + 3x = 3x2 + 4(2) + a + -1y Reorder the terms: -1a + 19x + 3x + y2 = 3x2 + 4(2) + a + -1y Combine like terms: 19x + 3x = 22x -1a + 22x + y2 = 3x2 + 4(2) + a + -1y Multiply 4 * 2 -1a + 22x + y2 = 3x2 + 8 + a + -1y Reorder the terms: -1a + 22x + y2 = 8 + a + 3x2 + -1y Solving -1a + 22x + y2 = 8 + a + 3x2 + -1y Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. -1a + 22x + -1a + y2 = 8 + a + 3x2 + -1a + -1y Reorder the terms: -1a + -1a + 22x + y2 = 8 + a + 3x2 + -1a + -1y Combine like terms: -1a + -1a = -2a -2a + 22x + y2 = 8 + a + 3x2 + -1a + -1y Reorder the terms: -2a + 22x + y2 = 8 + a + -1a + 3x2 + -1y Combine like terms: a + -1a = 0 -2a + 22x + y2 = 8 + 0 + 3x2 + -1y -2a + 22x + y2 = 8 + 3x2 + -1y Add '-22x' to each side of the equation. -2a + 22x + -22x + y2 = 8 + 3x2 + -22x + -1y Combine like terms: 22x + -22x = 0 -2a + 0 + y2 = 8 + 3x2 + -22x + -1y -2a + y2 = 8 + 3x2 + -22x + -1y Reorder the terms: -2a + y2 = 8 + -22x + 3x2 + -1y Add '-1y2' to each side of the equation. -2a + y2 + -1y2 = 8 + -22x + 3x2 + -1y + -1y2 Combine like terms: y2 + -1y2 = 0 -2a + 0 = 8 + -22x + 3x2 + -1y + -1y2 -2a = 8 + -22x + 3x2 + -1y + -1y2 Divide each side by '-2'. a = -4 + 11x + -1.5x2 + 0.5y + 0.5y2 Simplifying a = -4 + 11x + -1.5x2 + 0.5y + 0.5y2
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